Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation

We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation. The result established in this way proves that (HGP) is locally well-posed since the solution of (GP) can be vanished at some $t\neq 0.$

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Source https://hal.sorbonne-universite.fr/hal-00948066
Author Mohamad, Haidar
Maintainer CCSD
Last Updated May 6, 2026, 08:42 (UTC)
Created May 6, 2026, 08:42 (UTC)
Identifier hal-00948066
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Jacques-Louis Lions (LJLL) ; Université Pierre et Marie Curie - Paris 6 (UPMC)-Université Paris Diderot - Paris 7 (UPD7)-Centre National de la Recherche Scientifique (CNRS)
creator Mohamad, Haidar
date 2014-02-01T00:00:00
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harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2024-05-02T00:00:00
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